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2003298000 = 2435311127239
BaseRepresentation
bin111011101100111…
…1110011011010000
312011121120002020020
41313121332123100
513100321014000
6530441343440
7100433515644
oct16731763320
95147502206
102003298000
1193889a490
1247aa97b80
1325c060542
141500b6c24
15bad14ba0
hex7767e6d0

2003298000 has 320 divisors, whose sum is σ = 7130972160. Its totient is φ = 479808000.

The previous prime is 2003297987. The next prime is 2003298001. The reversal of 2003298000 is 8923002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003298001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8381881 + ... + 8382119.

It is an arithmetic number, because the mean of its divisors is an integer number (22284288).

Almost surely, 22003298000 is an apocalyptic number.

2003298000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565486080).

2003298000 is an abundant number, since it is smaller than the sum of its proper divisors (5127674160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2003298000 is a wasteful number, since it uses less digits than its factorization.

2003298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2003298000 is about 44758.2171226692. The cubic root of 2003298000 is about 1260.6132061827.

It can be divided in two parts, 2003 and 298000, that added together give a palindrome (300003).

The spelling of 2003298000 in words is "two billion, three million, two hundred ninety-eight thousand".